Find the GCF of 42m−28n

Question

.(1 point)
Responses

2
2

7
7

84
84

14

Answer 1

To find the GCF (Greatest Common Factor) of the expression \(42m - 28n\), we can start by determining the GCF of the coefficients of the terms (42 and 28).

1. Find the GCF of 42 and 28:

   • The factors of 42 are: \(1, 2, 3, 6, 7, 14, 21, 42\)
   • The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
   • The common factors are: \(1, 2, 7, 14\)
   • The greatest of these is \(14\).

2. Factor out the GCF from the expression: \[ 42m - 28n = 14(3m - 2n) \]

Thus, the GCF of the expression \(42m - 28n\) is 14.

The correct response is: 14